Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10*, 11*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
2	reference	87	⊢
3	reference	94	⊢
4	reference	28	⊢
5	instantiation	35	⊢
	: , :
6	reference	30	⊢
7	reference	31	⊢
8	instantiation	12, 83, 25	⊢
	: , :
9	instantiation	12, 83, 62	⊢
	: , :
10	instantiation	44, 13, 14, 15	⊢
	: , : , : , :
11	instantiation	67, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	21, 87, 94, 28, 18, 30, 31, 83, 25	⊢
	: , : , : , : , : , :
14	instantiation	67, 19, 20	⊢
	: , : , :
15	instantiation	74, 25	⊢
	:
16	instantiation	21, 87, 94, 28, 22, 30, 31, 83, 62	⊢
	: , : , : , : , : , :
17	instantiation	67, 23, 26	⊢
	: , : , :
18	instantiation	35	⊢
	: , :
19	instantiation	24, 28, 94, 87, 30, 29, 31, 83, 25	⊢
	: , : , : , : , : , :
20	instantiation	75, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	instantiation	35	⊢
	: , :
23	instantiation	27, 94, 28, 29, 30, 31, 83	⊢
	: , : , : , :
24	theorem		⊢
	proveit.numbers.multiplication.association
25	instantiation	92, 85, 32	⊢
	: , : , :
26	instantiation	41, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	35	⊢
	: , :
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	36, 62, 83, 37	⊢
	: , :
32	instantiation	38, 39, 40	⊢
	: , : , :
33	instantiation	41, 42, 43	⊢
	: , : , :
34	instantiation	44, 45, 46, 47	⊢
	: , : , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.numbers.division.div_complex_closure
37	instantiation	48, 81	⊢
	:
38	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
39	instantiation	49, 50	⊢
	: , :
40	assumption		⊢
41	theorem		⊢
	proveit.logic.equality.sub_right_side_into
42	instantiation	51, 62, 52, 53	⊢
	: , : , : , : , :
43	instantiation	67, 54, 55	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
45	instantiation	75, 56	⊢
	: , : , :
46	instantiation	75, 56	⊢
	: , : , :
47	instantiation	82, 62	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
51	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
52	instantiation	92, 58, 57	⊢
	: , : , :
53	instantiation	92, 58, 59	⊢
	: , : , :
54	instantiation	75, 60	⊢
	: , : , :
55	instantiation	75, 61	⊢
	: , : , :
56	instantiation	77, 62	⊢
	:
57	instantiation	92, 64, 63	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
59	instantiation	92, 64, 65	⊢
	: , : , :
60	instantiation	75, 66	⊢
	: , : , :
61	instantiation	67, 68, 69	⊢
	: , : , :
62	instantiation	92, 85, 70	⊢
	: , : , :
63	instantiation	92, 72, 71	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
65	instantiation	92, 72, 73	⊢
	: , : , :
66	instantiation	74, 83	⊢
	:
67	axiom		⊢
	proveit.logic.equality.equals_transitivity
68	instantiation	75, 76	⊢
	: , : , :
69	instantiation	77, 83	⊢
	:
70	instantiation	92, 88, 78	⊢
	: , : , :
71	instantiation	92, 80, 79	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
73	instantiation	92, 80, 81	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
75	axiom		⊢
	proveit.logic.equality.substitution
76	instantiation	82, 83	⊢
	:
77	theorem		⊢
	proveit.numbers.division.frac_one_denom
78	instantiation	92, 90, 84	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
82	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
83	instantiation	92, 85, 86	⊢
	: , : , :
84	instantiation	92, 93, 87	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
86	instantiation	92, 88, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
89	instantiation	92, 90, 91	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
91	instantiation	92, 93, 94	⊢
	: , : , :
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements